42244000 has 96 divisors (see below), whose sum is σ = 106142400. Its totient is φ = 16518400.

The previous prime is 42243989. The next prime is 42244001. The reversal of 42244000 is 44224.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (42244001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235911 + ... + 236089.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 2^42244000 is an apocalyptic number.

42244000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53071200).

42244000 is an abundant number, since it is smaller than the sum of its proper divisors (63898400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42244000 is a wasteful number, since it uses less digits than its factorization.

42244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 42244000 is about 6499.5384451513. The cubic root of 42244000 is about 348.2745004662.

Adding to 42244000 its reverse (44224), we get a palindrome (42288224).

It can be divided in two parts, 4 and 2244000, that added together give a square (2244004 = 1498²).

The spelling of 42244000 in words is "forty-two million, two hundred forty-four thousand".